What is the Least Common Multiple of 21160 and 21175?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 21160 and 21175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21160 and 21175, than apply into the LCM equation.

GCF(21160,21175) = 5
LCM(21160,21175) = ( 21160 × 21175) / 5
LCM(21160,21175) = 448063000 / 5
LCM(21160,21175) = 89612600

Least Common Multiple (LCM) of 21160 and 21175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21160 and 21175. First we will calculate the prime factors of 21160 and 21175.

Prime Factorization of 21160

Prime Factorization of 21175

Now multiplying the highest exponent prime factors to calculate the LCM of 21160 and 21175.

LCM(21160,21175) = 2³ × 5² × 23² × 7¹ × 11²
LCM(21160,21175) = 89612600